Answer:The result has no axes or planes of symmetry that
preserve both the shape and the coloring. I call it an anti-colored
model. (Perhaps there is an already existing word for it, but I don't
recall ever seeing this idea discussed anywhere.) Notice that each tetrahedron,
rather than being just in one color, is in four colors, and so omits just
one color. All the planes of a common color define the planes of an imagined
tetrahedron, but the tetrahedron so defined is not one of the tetrahedra
in the physical structure.